Block B 12 - 8 - 08 A. How can use the scale on the map to calculate the scale factor between the map and the real state? What is the scale factor?
Answer: You can the scale on the map to calculate the map and the real state by measuring the scale. (2cm= 100km) Then I did 2cm= 100km 2cm= X cm
2cm= 10000cm<------divide by 2.
1cm: 500cm<------SF.
B. How many miles of fencing would it take to surround the state of Utah?
10.8+8.6+8.7+3.2+2.2+4.3= 37.8 X 50= 1,800km.
It will take 1,800km of fencing to surround the state of Utah.
C. Use the scale to estimate the area of Utah. Explain your work.
Measure the width and length of the area of the area of Utah, and then convert it to km by multiplying it by 50. Then do 430km X 430km= 184,900km. That’s for the area of the whole rectangle. To find the area of the indent to subtract it, you need to measure the side lengths. Then do 110km X 160km= 17600km. Then subtract 17600km from184, 900km to get the area of Utah.
Area of Utah---167, 300km.
D. If you drove at a steady speed of 55miles per hour, about how long would it take you to travel from Logan to Saint George?
It will take me 5.81818181 hours, or around 6 hours if rounded.
Problem 4.4 Follow Up.
1. The total land and water area of the United States is about 3,717,522 square miles. What percent of this total area is the area of Utah?
Area of Utah--- 167,300 square miles.
Area of United States--- 3,717,522 square miles.
Problem 4.4 Aiman Q.
Block B12 - 8 - 08
A. How can use the scale on the map to calculate the scale factor between the map and the real state? What is the scale factor?
Answer: You can the scale on the map to calculate the map and the real state by measuring the scale. (2cm= 100km) Then I did 2cm= 100km
2cm= X cm
2cm= 10000cm<------divide by 2.
1cm: 500cm<------SF.
B. How many miles of fencing would it take to surround the state of Utah?
10.8+8.6+8.7+3.2+2.2+4.3= 37.8 X 50= 1,800km.
It will take 1,800km of fencing to surround the state of Utah.
C. Use the scale to estimate the area of Utah. Explain your work.
Measure the width and length of the area of the area of Utah, and then convert it to km by multiplying it by 50. Then do 430km X 430km= 184,900km. That’s for the area of the whole rectangle. To find the area of the indent to subtract it, you need to measure the side lengths. Then do 110km X 160km= 17600km. Then subtract 17600km from184, 900km to get the area of Utah.
Area of Utah---167, 300km.
D. If you drove at a steady speed of 55miles per hour, about how long would it take you to travel from Logan to Saint George?
It will take me 5.81818181 hours, or around 6 hours if rounded.
Problem 4.4 Follow Up.
1. The total land and water area of the United States is about 3,717,522 square miles. What percent of this total area is the area of Utah?
Area of Utah--- 167,300 square miles.
Area of United States--- 3,717,522 square miles.
3,717,522/167,300= 0.0450031 X 100= 4.50%
Answer: 4.50%